A New Moving Frame for Trajectories on Regular Surfaces

Autor:	ÖZEN, Kahraman Esen, TOSUN, Murat
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Matematik Mathematics Kinematics of a particle Moving frame Regular surfaces Angular momentum Smarandache curves
Zdroj:	Volume: 3, Issue: 1 20-34 Ikonion Journal of Mathematics
ISSN:	2687-6531
Popis:	In this study, we introduce a new moving frame on regular surfaces for trajectories with non-vanishing angular momentum and give the angular velocity vector for this frame. Then, we consider the special trajectories generated by Smarandache curves according to this frame in three-dimensional Euclidean space and investigate the Serret-Frenet apparatus of them. Moreover, we provide an illustrative example explaining how this frame is constructed and how the aforementioned special trajectories are generated. This moving frame is a new contribution to the field and we expect that it will be useful in some specific applications of differential geometry and kinematics in the future.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=tubitakulakb::27b1fa147187349f285c78851de558f0 https://dergipark.org.tr/tr/pub/ikjm/issue/62663/883696 Zobrazit plný text záznamu